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Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3, 4, 5*, 6*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.division.frac_cancel_left
2instantiation35, 8, 7  ⊢  
  : , : , :
3instantiation35, 8, 9  ⊢  
  : , : , :
4reference13  ⊢  
5instantiation10, 11  ⊢  
  :
6instantiation12, 13  ⊢  
  :
7instantiation35, 15, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9instantiation35, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
11instantiation35, 18, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.division.frac_one_denom
13instantiation35, 18, 19  ⊢  
  : , : , :
14instantiation35, 21, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
16instantiation35, 21, 22  ⊢  
  : , : , :
17instantiation35, 23, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation25, 26, 27  ⊢  
  : , : , :
20instantiation35, 29, 28  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22instantiation35, 29, 30  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation35, 31, 32  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
26instantiation33, 34  ⊢  
  : , :
27theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
28theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation35, 36, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements